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Physics - Wave on String Question with Solution | TestHub

PhysicsWave on StringWavesMedium2 minQB

PhysicsMediumsingle choice

Two vibrating strings of same material stretched under same tension and vibrating with same frequency in the same overtone have radii $2 r$ and $r$ . Then the ratio of their lengths is:

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Answer:

Solution:

$f = \frac{n}{2 L} T / μ$ with $μ \propto r^{2}$ . At equal $f$ , $n$ and $T$ : $L \propto 1/ μ \propto 1/ r$ . So $L_{1} : L_{2} = r : 2 r$ for radii $2 r$ and $r$ , which is 1 : 2.

Stream:JEESubject:PhysicsTopic:Wave on StringSubtopic:Waves

⏱ 2mℹ️ Source: QB

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